Toby is installing windows in a house. If the diagonal of the pane of glass measures 65 in and the base is 36 in, how tall is the window?

The window is 54.12 in tall.

Step-by-step explanation:

Step 1: The window can be imagined as 2 right triangles. The diagonal represents the hypotenuse of the right triangle = 65 in and base = 36 in. Find the other side, which will give the height of the window.

Using Pythagoras Theorem, Hypotenuse² = Base² + Height²

Height² = 65² - 36² = 4225 - 1296 = 2929

⇒ Height of the window = √2929 = 54.12 in